The generator matrix

 1  0  0  0  1  1  1  2  0  1  1  1  2  1  2  0  2  2  1  2  1  2  0  0  1  1  0  1  1  0  1  1  1  1  1 X+2  0 X+2 X+2  X X+2  1  0  1  1 X+2  1  2  1  1  1  X  1  1  X X+2  X  1  1 X+2  1  X  1  1  1  1  0  1 X+2  1  X  1  X  1  X  X  0  1  1  1 X+2 X+2  1  1  2  1 X+2  1  1 X+2  0 X+2  X
 0  1  0  0  0  2  2  2  1 X+3 X+1 X+3  1 X+1  1  1  1  0  2  2 X+3  1  1  X X+2  3  1  X X+1  X  3  0 X+1  X  X  1  X  X  1  1  0 X+3  1  3  X  1  X  0 X+2  3 X+3  1  1  0  1  0  1  3 X+1  1  2  0  1 X+2 X+3 X+1 X+2 X+1  0  0  2 X+1  X  X  X  1  X  2 X+2  1  X  1  3 X+1  1  0  2  1  X  1  0 X+2  2
 0  0  1  0  2  1  3  1 X+1  1  2  3 X+1  0  0  2 X+3  1  0  1  2  2 X+3  X X+2 X+1 X+2 X+3 X+2  1 X+3 X+1  X X+2  X  X  0  1  3  1  1 X+3  3  3 X+1  0  0  X  2  0 X+1 X+3  1 X+3  X  1  2 X+2  X X+3  X  1  2  1 X+1  1  1 X+1  2 X+1  1  2  1  X  2 X+3  1  1 X+3  2  1  X  3 X+2  3 X+2  1  X X+3 X+2  1  1  1
 0  0  0  1 X+3 X+3  0 X+1  2  0  2 X+3  1 X+1  3  X X+1  X X+2  1  X X+3 X+2  1  3  0  3  1  1 X+1 X+1  2  X X+1  0 X+2  1  2 X+3  X X+2  2 X+1 X+3  2  X X+3  1 X+2  1 X+2  3  0 X+1  2  0 X+3 X+3  2  0  X  1 X+2  1 X+1 X+2  0  1  1  X X+1  3 X+2 X+1  1 X+1  X  X  X X+1  0 X+1  1  3  0  1  0  X X+3  X  1  2  3

generates a code of length 93 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+262x^87+279x^88+532x^89+352x^90+478x^91+266x^92+432x^93+192x^94+258x^95+168x^96+194x^97+125x^98+190x^99+52x^100+92x^101+42x^102+60x^103+22x^104+26x^105+25x^106+12x^107+12x^108+16x^109+4x^111+4x^113

The gray image is a code over GF(2) with n=372, k=12 and d=174.
This code was found by Heurico 1.16 in 40.1 seconds.